Least Common Multiple of 20/28, 82/84, 18/96, 77/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/28, 82/84, 18/96, 77/395 quickly i.e. 568260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/28, 82/84, 18/96, 77/395 is 568260.

LCM(20/28, 82/84, 18/96, 77/395) = 568260

LCM of 20/28, 82/84, 18/96, 77/395

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 20/28,82/84,18/96,77/395

Given numbers are 20/28,82/84,18/96,77/395

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 20,82,18,77

Least Common Multiple of Numerators i.e. LCM of 20,82,18,77 is 568260.

GCF of Denominators means GCF of 28,84,96,395 as per the given fractions.

GCF of 28,84,96,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,82,18,77

LCM of Fractions 20/28,82/84,18/96,77/395 is 568260

2 20, 82, 18, 77
10, 41, 9, 77

∴ So the LCM of the given numbers is 2 x 10 x 41 x 9 x 77 = 568260

Least Common Multiple of 20,82,18,77 with GCF Formula

Least Common Multiple of 20,82,18,77 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 20,82,18,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,82,18,77) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,82,18,77) x common factors =1 x 4 = 4

LCM(20,82,18,77) = ( 20 × 82 × 18 × 77 ) / 4

LCM(20,82,18,77) = 2273040 / 4

LCM(20,82,18,77) = 568260


Lets's calculate GCF of 28,84,96,395

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568260/1

Therefore the LCM of Fractions 20/28,82/84,18/96,77/395 is 568260

Greatest Common Factor of 28,84,96,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,84,96,395 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 28,84,96,395 . The biggest common factor number is the GCF number.
So the greatest common factor 28,84,96,395 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 20/28, 82/84, 18/96, 77/395

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 20/28, 82/84, 18/96, 77/395?

Answer: LCM of Numerators as per given numbers 20/28, 82/84, 18/96, 77/395 is

LCM of Numerators i.e. for 20,82,18,77 is 568260

GCF of denominators i.e. for 28,84,96,395 is 1.

Thus, LCM of Fractions is 568260.Finally, LCM of Fractions for 20/28, 82/84, 18/96, 77/395 is 568260.